\(D=\dfrac{1}{1\cdot5}+\dfrac{1}{5\cdot9}+...+\dfrac{1}{21\cdot25}\)

\(4D=\dfrac{4}{1\cdot5}+\dfrac{4}{5\cdot9}+...+\dfrac{4}{21\cdot25}\)

\(4D=1-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+...+\dfrac{1}{21}-\dfrac{1}{25}\)

\(4D=1-\dfrac{1}{25}=\dfrac{24}{25}\)

\(D=\dfrac{24}{25}\cdot\dfrac{1}{4}=\dfrac{4\cdot6}{25\cdot4}=\dfrac{6}{25}\)

Tận cùng là 0

3/(x - 7) = 27/135

3 × 135 = (x - 7) × 27

(x - 7) × 27 = 405

x - 7 = 405 : 27

x - 7 = 15

x = 15 + 7

x = 22

\(\dfrac{3}{x-7}=\dfrac{27}{135}\)

\(27\times\left(x-7\right)=3\times135\)

\(27\times x-189=405\)

\(27\times x=405+189\)

\(27\times x=594\)

\(x=594\div27\)

\(x=22\)

\(72\cdot\dfrac{1}{2}\cdot85-6:\dfrac{1}{6}\cdot20+18\cdot70\)

\(=\dfrac{2\cdot36\cdot85}{2}-6\cdot6\cdot20+1260\)

\(=3060-720+1260\)

\(=3600\)

Diện tích hình tròn:

\(S=\pi\cdot r^2\)

\(S=R^2\times\pi,\pi=3,14\)

sosssssssssssssssssssssssssss

\(\dfrac{91}{80}\) tối giản rồi bạn nhé!

Hình như bài thiếu dữ kiện hay sao á bạn

ko bn  đủ rùi ạ 

a) \(\dfrac{5}{6}+\dfrac{3}{2}\cdot\dfrac{4}{5}\)

\(=\dfrac{5}{6}+\dfrac{3\cdot2\cdot2}{2\cdot5}\)

\(=\dfrac{5}{6}+\dfrac{6}{5}\)

\(=\dfrac{61}{30}\)

b) \(\dfrac{6}{7}:\dfrac{9}{14}-1\)

\(=\dfrac{6}{7}\cdot\dfrac{14}{9}-1\)

\(=\dfrac{2\cdot3\cdot7\cdot2}{7\cdot3\cdot3}-1\)

\(=\dfrac{4}{3}-1\)

\(=\dfrac{1}{3}\)

a) \(\dfrac{5}{6}+\dfrac{3}{2}.\dfrac{4}{5}=\dfrac{5}{6}+\dfrac{6}{5}=\dfrac{61}{30}\)

b) \(\dfrac{6}{7}:\dfrac{9}{14}-1=\dfrac{4}{3}-1=\dfrac{1}{3}\)